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In den WarenkorbZustand: New. Über den AutorCharles L. Epstein & Rafe MazzeoInhaltsverzeichnisPreface xi 1 Introduction 1 1.1 Generalized Kimura Diffusions 3 1.2 Model Problems 5 1.3 Perturbation Theory 9 1.4 Main Results 10 1.
Verlag: Princeton University Press Apr 2013, 2013
ISBN 10: 0691157154 ISBN 13: 9780691157153
Sprache: Englisch
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In den WarenkorbTaschenbuch. Zustand: Neu. Neuware - This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics, mathematical finance, and economics. The results discussed in this book prove the uniqueness of the solution to the Martingale problem and therefore the existence of the associated Markov process. Charles Epstein and Rafe Mazzeo use an 'integral kernel method' to develop mathematical foundations for the study of such degenerate elliptic operators and the stochastic processes they define. The precise nature of the degeneracies of the principal symbol for these operators leads to solutions of the parabolic and elliptic problems that display novel regularity properties. Dually, the adjoint operator allows for rather dramatic singularities, such as measures supported on high codimensional strata of the boundary. Epstein and Mazzeo establish the uniqueness, existence, and sharp regularity properties for solutions to the homogeneous and inhomogeneous heat equations, as well as a complete analysis of the resolvent operator acting on Hölder spaces. They show that the semigroups defined by these operators have holomorphic extensions to the right half-plane. Epstein and Mazzeo also demonstrate precise asymptotic results for the long-time behavior of solutions to both the forward and backward Kolmogorov equations.
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In den WarenkorbPaperback. Zustand: Brand New. 320 pages. 9.21x6.14x0.94 inches. In Stock.
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In den WarenkorbGebunden. Zustand: New. Über den AutorCharles L. Epstein & Rafe MazzeoInhaltsverzeichnisPreface xi 1 Introduction 1 1.1 Generalized Kimura Diffusions 3 1.2 Model Problems 5 1.3 Perturbation Theory 9 1.4 Main Results 10 1.
Verlag: Princeton University Press Apr 2013, 2013
ISBN 10: 069115712X ISBN 13: 9780691157122
Sprache: Englisch
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
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In den WarenkorbBuch. Zustand: Neu. Neuware - This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics, mathematical finance, and economics. The results discussed in this book prove the uniqueness of the solution to the Martingale problem and therefore the existence of the associated Markov process. Charles Epstein and Rafe Mazzeo use an 'integral kernel method' to develop mathematical foundations for the study of such degenerate elliptic operators and the stochastic processes they define. The precise nature of the degeneracies of the principal symbol for these operators leads to solutions of the parabolic and elliptic problems that display novel regularity properties. Dually, the adjoint operator allows for rather dramatic singularities, such as measures supported on high codimensional strata of the boundary. Epstein and Mazzeo establish the uniqueness, existence, and sharp regularity properties for solutions to the homogeneous and inhomogeneous heat equations, as well as a complete analysis of the resolvent operator acting on Hölder spaces. They show that the semigroups defined by these operators have holomorphic extensions to the right half-plane. Epstein and Mazzeo also demonstrate precise asymptotic results for the long-time behavior of solutions to both the forward and backward Kolmogorov equations.
Verlag: Princeton University Press, 2013
ISBN 10: 069115712X ISBN 13: 9780691157122
Sprache: Englisch
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In den WarenkorbZustand: New. In.
Verlag: Princeton University Press, 2013
ISBN 10: 069115712X ISBN 13: 9780691157122
Sprache: Englisch
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In den WarenkorbHRD. Zustand: New. New Book. Shipped from UK. Established seller since 2000.
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In den WarenkorbHardcover. Zustand: Brand New. 306 pages. 9.50x6.50x1.00 inches. In Stock.